IIT JEE Advance Online Mock Practice Test

JEE Advance Test MCQ Questions Answers for the admission in B.tech: This mock test having 25 question each, with four choices. On each click on answers system will tell you where the answers is correct or incorrect. You can view this JEE Advance question are available for Physics and Chemistry details at the end of the quiz. You can also download JEE Advance Previous Year Question Papers.

This JEE Advance Entrance Exam questions answers are applicable for any kind of engineering entrance and B.Arch Entrance exam. You can practice as much as you can to gather knowledge of how to answers JEE Main Test critical type papers in short time and this can be a big factor for cracking All India Joint Entrance level exam.

JEE Advance Online Practice Test - Physics

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Question 1

Estimate the wavelength at which plasma reflection will occur for a metal having the density of electrons N 4 x 1027 m3. Take E 10_li and m 1O_30, where these quantities are in proper SI units.

A

800 nm

B

600 nm

C

300 nm

D

200 nm

Question 2

A thin ring of mass 2 kg and radius 0.5 m is rolling without slipping on a horizontal plane with velocity 1 m/s. A small ball of mass 0.1 kg, moving with velocity 20 m/s in the opposite direction, hits the ring at a height of 0.75 m and goes vertically up with velocity 10 m/s. Immediately after the collision

A

the ring has pure rotation about its stationary CM.

B

the ring comes to a complete stop.

C

friction between the ring and the ground is to the left.

D

there is no friction between the ring and the ground.

Question 3

A ray OP of monochromatic light is incident on the face AD of prism ABCD near vertex B at an incident angle of 600 (see figure). If the refractive Index of the material of the prism is √3. which of the following is (are) correct ?

A

The ray gets totally internally reflected at face CD [Th900

B

The ray comes out through face AD A

C

The angle between the incident ray and the emergent ray is 9O

D

The angle between the incident ray and the emergent ray is 120’

Question 4

In the core of nuclear fusion reactor, the gas becomes plasma because of

A

strong nuclear force acting between the deuterons

B

Coulomb force acting between the deuterons

C

Coulomb force acting between deuteron-electron pairs

D

the high temperature maintained inside the reactor core

Question 5

Consider the two curves C1 :y2 =4x C2😡2+y2—6x+1=O Then,

A

C1 and C2 touch each other only at one point

B

C1 and C2 touch each other exactly at two points

C

C1 and C2 intersect (but do not touch) at exactly two points

D

C1 and C2 neither intersect nor touch each other

Question 6

An experiment has 10 equally likely outcomes. Let A and B be two non-empty events of the experiment. If A consists of 4 outcomes, the number of outcomes that B must have so that A and B are independent, is

A

2,4or8

B

3,6or9

C

4or8

D

5or10

Question 7

The total number of local maxima and local minima of the function is

A

0

B

1

C

2

D

3

Question 8

Which of the following is true?

A

f(x) is decreasing on (—1, 1) and has a local minimum at x = 1

B

f(x) is increasing on (—1, 1) and has a local maximum at x 1

C

f(x) is increasing on (—1, 1) but has neither a local maximum nor a local minimum at x = 1

D

1(x) is decreasing on (—1, 1) but has neither a local maximum nor a local minimum at x =1

STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is a correct explanation for STATEMENT-1

B

STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a correct explanation for STATEMENT-1

C

STATEMENT-1 is True, STATEMENT-2 is False

D

STATEMENT-1 is False, STATEMENT-2 is True

Question 10

A radioactive sample Si having an activity of 5jiCi has twice the number of nuclei as another sample S2 which has an activity of . The half lives of Si and S2 can be

A

20 years and 5 years, respectively

B

20 years and 10 years, respectively

C

10 years each

D

5 years each

Question 11

Consider the system of equations ax+by=O, cx+dy=O, where a ,b ,c, d€ (0,1) STATEMENT- 1: The probability that the system of equations has a unique solution is and STATEMENT-2: The probability that the system of equations has a solution is 1.

A

STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is a correct explanation for STATEMENT-1

B

STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a correct explanation for STATEMENT-1

C

STATEMENT-1 is True, STATEMENT-2 is False

D

STATEMENT-1 is False, STATEMENT-2 is True

Question 12

A glass tube of uniform internal radius (r) has a valve separating the two identical ends. Initially, the valve is in a tightly closed position. End I has a hemispherical soap bubble of radius r. End 2 has sub-hemispherical soap bubble as shown in figure. Just after opening the valve,

A

air from end 1 flows towards end 2. No change in the volume of the soap bubbles

B

air from end 1 flows towards end 2. Volume of the soap bubble at end 1 decreases

C

no change occurs

D

air from end 2 flows towards end 1. Volume of the soap bubble at end 1 increases

Question 13

Let z be any point in A,B,C. Then │z+1—i│2 +│z-5-i│2 lies between (A)
(B)
(C)
(D)

A

25 and 29

B

30 and 34

C

35 and 39

D

40 and 44

Question 14

A vibrating string of certain length ( under a tension T resonates with a mode corresponding to the first overtone (third harmonic) of an air column of length 75 cm inside a tube closed at one end. The string also generates 4 beats per second when excited along with a tuning fork of frequency n. Now when the tension of the string is slightly increased the number of beats reduces to 2 per second. Assuming the velocity of sound in air to be 340 mi’s, the frequency n of the tuning fork in Hz is

A

344

B

336

C

117.3

D

109.3

Question 15

Let z be any point in A,B,C and let w be any point satisfying │w—2—i│<3 Then, │z│—│w│+3 lies between

A

—6 and 3

B

—3 and 6

C

—6 and 6

D

-3 and 9

Question 16

STATEMENT-1 For an observer looking out through the window of a fast moving train, the nearby objects appear to move in the opposite direction to the train, while the distant objects appear to be stationary. and STATEMENT-2 If the observer and the object are moving at velocities V1 and “2 respectively with reference to a laboratory frame, the velocity of the object with respect to the observer 15

A

STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is a correct explanation for STATEMENT-1

B

STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a correct explanation for STATEMENT-1

C

STATEMENT-1 is True, STATEMENT-2 is False

D

STATEMENT-1 is False, STATEMENT-2 is True

Question 17

Which one of the following statements is WRONG in the context of X-rays generated from a X-ray tube?

A

Wavelength of characteristic X-rays decreases when the atomic number of the target increases

B

Cut-off wavelength of the continuous X-rays depends on the atomic number of the target

C

Intensity of the characteristic X-rays depends on the electrical power given to the X-ray tube

D

Cut-off wavelength of the continuous X-rays depends on the energy of the electrons in the X-ray tube

Question 18

STATEMENT-1 It is easier to pull a heavy object than to push it on a level ground. and STATEMENT-2 The magnitude of frictional force depends on the nature of the two surfaces in contact.

A

STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is a correct explanation for STATEMENT-1

B

STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a correct explanation for STATEMENT-1

C

STATEMENT-1 is True, STATEMENT2 is False

D

STATEMENT-1 is False, STATEMENT-2 is True

Question 19

Two beams of red and violet colours are made to pass separately through a prism (angle of the prism is 60”). In the position of minimum deviation, the angle of refraction will be

A

300 for both the colours

B

greater for the violet colour

C

greater for the red colour

D

equal but not 300 for both the colours

Question 20

STATEMENT-1 The sensitivity of a moving coil galvanometer is increased by placing a suitable magnetic material as a core inside the coil. and STATEMENT-2 Soft iron has a high magnetic permeability and cannot be easily magnetized or demagnetized.

A

STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is a correct explanation for STATEMENT-1

B

STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a correct explanation for STATEMENT-1

C

STATEMENT-1 is True, STATEMENT-2 is False

D

STATEMENT-1 is False, STATEMENT-2 is True

Question 21

Assume that the nuclear binding energy per nucleon (B/A) versus mass number (A) is as shown in the figure. Use this plot to choose the correct choice(s) given below.

A

Fusion of two nuclei with mass numbers lying in the range of 1

B

Fusion of two nuclei with mass numbers lying in the range of 51

C

Fission of a nucleus lying in the mass range of 100

D

Fission of a nucleus lying in the mass range of 200 < A < 260 will release energy when broken into two equal fragments

Question 22

The electric field at r = R is

A

independent of a

B

directly proportional to a

C

directly proportional to a2

D

inversely proportional to a

Question 23

In a Young’s double slit experiment, the separation between the two slits is d and the wavelength of the light is A. The intensity of light falling on slit 1 is four times the intensity of light falling on slit 2. Choose the correct choice(s).

A

If d — A, the screen will contain only one maximum

B

If A

C

If the intensity of light falling on slit 1 is reduced so that it becomes equal to that of slit 2, the intensities of the observed dark and bright fringes will increase

D

If the intensity of light falling on slit 2 is increased so that it becomes equal to that of slit 1, the intensities of the observed dark and bright fringes will increase

Question 24

Electrolysis of dilute aqueous NaCI solution was carried out by passing 10 mliii ampere current. The time required to liberate 0.01 mol of H2 gas at the cathode is (1 Faraday=96500C mol’)

A

9.65xlO4sec

B

19.3xlO4sec

C

28.95 x 10 sec

D

38.6 x 10 sec

Question 25

STATEMENT-I In a Meter Bridge experiment, null point for an unknown resistance is measured. Now, the unknown resistance is put inside an enclosure maintained at a higher temperature. The null point can be obtained at the same point as before by decreasing the value of the standard resistance. and STATEMENT-2 Resistance of a metal increases with increase in temperature.

A

STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT.2 is a correct explanation for STATEMENT-1

B

STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a correct explanation for STATEMENT-1

C

STATEMENT-1 is True, STATEMENT-2 is False

D

STATEMENT-1 is False, STATEMENT-2 is True

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JEE Advance Online Practice Test - Chemistry

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The Henrys law constant for the solubi1ity of N2 gas in water it 298 K is 1.0 x 1O5 atm. The mole fraction of N2 in air is 0.8. The number of mole N2 from air dissolved in 10 moles of water at 298 K and 5atm pressure is

A

4.0 x 10-4

B

4.0 x 10-5

C

5.0 x 10-4

D

4.0 x 10-6

Question 14

Among the following, the state function(s) is (are)

A

Internal energy

B

Irreversible expansion work

C

Reversible expansion work

D

Molar enthalpy

Question 15

The bond energy (in kcal mol’) of a C—C single bond is approximately

A

1

B

10

C

100

D

1000

Question 16

Assuming that Hund’s rule is violated, the bond order aiid magnetic nature of the diatomic molecule B2 is

A

1 and diamagnetic

B

0 and diamagnetic

C

1 and paramagne tic

D

0 and paiamagnetic

Question 17

The state S1 is

A

1s

B

2s

C

2p

D

3s

Question 18

Dissolving 120 g of urea (mol. wt. 60) in 1000 g of water gave a solution of density 1.15 g/mL. The molarity of the solution is